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An alternative linearization approach applicable to hysteretic systems |
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| Affiliation: | 1. Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology for Complex Systems, Rua Xavier Sigaud 150, Rio de Janeiro 22290-180, RJ, Brazil;2. Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501, USA;1. School of Mechanical and Electrical Engineering, Guilin University of Electronic Technology, Guilin 541004, China;2. College of Information, Mechanical and Electrical Engineering, Shanghai Normal University, Shanghai 200234, China |
| Abstract: | In this paper a method is proposed for equivalent linearization of nonlinear restoring forces being governed by differential equations in weakly nonlinear systems. These types of restoring forces cannot be linearized by employing conventional approximate approaches. Two analytical examples are used to show the accuracy of the proposed method. The application of the method to hysteretic systems is examined by constructing equivalent linear representation for Bouc–Wen model in its general formulation. Numerical investigations reveal that the proposed method is efficient in dynamic behavior analysis of weakly nonlinear hysteretic systems. |
| Keywords: | Equivalent linearization Weakly nonlinear systems Bouc–Wen hysteretic model |
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